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Finding the Third Proportional to 1,027,136 and 2,290,306

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Solution

The third proportional to 1,027,136 and 2,290,306 is: 5,106,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,136 : 2,290,306 = 2,290,306 : x
  2. Step 2: Convert to fraction form
    1,027,136/2,290,306 = 2,290,306/x
  3. Step 3: Cross multiply
    1,027,136x = 2,290,306 × 2,290,306
  4. Step 4: Simplify right side
    1,027,136x = 5,245,501,573,636
  5. Step 5: Solve for x
    x = 5,245,501,573,636/1,027,136
  6. Step 6: Final answer
    x = 5,106,920.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.